4407686390016 has 864 divisors, whose sum is σ = 16212168161280. Its totient is φ = 1120341196800.

The previous prime is 4407686390011. The next prime is 4407686390039. The reversal of 4407686390016 is 6100936867044.

It is not an unprimeable number, because it can be changed into a prime (4407686390011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1748386836 + ... + 1748389356.

It is an arithmetic number, because the mean of its divisors is an integer number (18764083520).

Almost surely, 2^{4407686390016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4407686390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106084080640).

4407686390016 is an abundant number, since it is smaller than the sum of its proper divisors (11804481771264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4407686390016 is a wasteful number, since it uses less digits than its factorization.

4407686390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4407686390016 in words is "four trillion, four hundred seven billion, six hundred eighty-six million, three hundred ninety thousand, sixteen".